Estimation of Eigenvalues in the Raman-Type Nonlinear Model.
For general Raman-type model describing decay of a pumping mode into p components the estimation of eigenvalues is obtained. It is shown that at p>1 the exact spectrum contains a brunch with negative energies En and En→∞ when the number of exitations n→∞. The physical reasons are discussed.
Mathematical problems and theory of numerical methods